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categoryرياضيات schoolبكالوريوس event_available2026-07-13

السؤال

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Use the elimination method to find a general solution for the given linear system, where differentiation is with respect to t. x' = 2x-y y' = 2y-16x Eliminate x and solve the remaining differential equation for y. Choose the correct answer below. A. y(t) = C₁ e 2 + C₂e 6t OB. y(t)=C₁e 21+ C₂ e - 6t OC. y(t)=C₁e e6t + C₂te 6 OD. y(t) = C₁e 2 + C₂te -21 E. The system is degenerate. Now find x(t) so that x(t) and the solution for y(t) found in the previous step are a general solution to the system of differential equations. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x(t)=C₁e -21 6t

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